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Finding the Fourth Proportional to 161.26, 241.77 and 53.02

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Solution

The fourth proportional to 161.26, 241.77 and 53.02 is: 79.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.26 : 241.77 = 53.02 : x
  2. Step 2: Convert to fraction form
    161.26/241.77 = 53.02/x
  3. Step 3: Cross multiply
    161.26x = 241.77 × 53.02
  4. Step 4: Simplify right side
    161.26x = 12,818.65
  5. Step 5: Solve for x
    x = 12,818.65/161.26
  6. Step 6: Final answer
    x = 79.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.